 #1
guyvsdcsniper
 237
 35
 Homework Statement:
 A satellite orbits Earth at altitudes of 5000 km. What is its speed with respect to the center of Earth? The radius of the Earth is 6380 km and its mass is 5.98 x 1024 kg.
 Relevant Equations:

V=sqrt(G*me/r)
V=2pir/T
My work is attached. I did get the answer right using the formula V=√(G*me/r).
Im just confused as to why I can't use V=2pi*r/T to also get the right answer? With this equation I would assume T=86400s.
I was able to use both equations to get the correct answer for a problem relating to geosynchronous satellite. The satellite for this problem was 200km from the Earth's surface, which is significantly closer than 5000km.
Does distance play a factor and if so, how?
I appreciate any and all responses.
Im just confused as to why I can't use V=2pi*r/T to also get the right answer? With this equation I would assume T=86400s.
I was able to use both equations to get the correct answer for a problem relating to geosynchronous satellite. The satellite for this problem was 200km from the Earth's surface, which is significantly closer than 5000km.
Does distance play a factor and if so, how?
I appreciate any and all responses.
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